2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61084We prove that if a finitely presented group acts properly discontinuously, cocompactly and by isometries on a simply connected Riemannian manifold, then the Dehn function of the group and the corresponding filling function of the manifold are equivalent, in a sense described below.Group TheoryDifferential Geometry20F65text